What is the conversion of 45 c to fahrenheit ?
The correct answer and explanation is:
To convert 45°C to Fahrenheit, use the following formula: F=95×C+32F = \frac{9}{5} \times C + 32
Where C is the temperature in Celsius and F is the temperature in Fahrenheit.
Now, substitute C = 45 into the formula: F=95×45+32F = \frac{9}{5} \times 45 + 32
First, calculate 95×45\frac{9}{5} \times 45: 95×45=81\frac{9}{5} \times 45 = 81
Then, add 32 to the result: 81+32=11381 + 32 = 113
Therefore, 45°C is equivalent to 113°F.
Explanation:
The conversion between Celsius and Fahrenheit involves multiplying the Celsius temperature by 95\frac{9}{5} (or 1.8) and then adding 32 to the result. This formula comes from the relationship between the two scales. The Celsius scale is based on the freezing point of water being 0°C and the boiling point at 100°C, while the Fahrenheit scale places the freezing point at 32°F and the boiling point at 212°F.
The factor of 95\frac{9}{5} (or 1.8) accounts for the difference in the size of the temperature intervals between the two scales. The addition of 32 adjusts for the offset between the freezing points of the two scales.
For example, a temperature of 0°C is 32°F, and a temperature of 100°C is 212°F. This formula ensures that any Celsius temperature can be converted to Fahrenheit, regardless of whether it’s a positive or negative value.
To confirm, 45°C is a warm temperature, and 113°F is quite hot, which aligns with our expectations based on everyday experiences.